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When solving the time-dependent radiative transport equation (RTE), implicit time discretization is often employed for its robustness and stability. This results in a sequence of steady-state RTEs with identical cross-sections but varying…

Numerical Analysis · Mathematics 2026-04-24 Qinchen Song , Lei Zhang , Min Tang

This paper introduces a novel kernel density estimator (KDE) based on the generalised exponential (GE) distribution, designed specifically for positive continuous data. The proposed GE KDE offers a mathematically tractable form that avoids…

Methodology · Statistics 2026-02-18 Laura M. Craig , Wagner Barreto-Souza

Semantic segmentation has made striking progress due to the success of deep convolutional neural networks. Considering the demands of autonomous driving, real-time semantic segmentation has become a research hotspot these years. However,…

Computer Vision and Pattern Recognition · Computer Science 2020-06-30 Lei Sun , Kailun Yang , Xinxin Hu , Weijian Hu , Kaiwei Wang

The ensemble Gaussian mixture filter (EnGMF) is a non-linear filter suited to data assimilation of highly non-Gaussian and non-linear models that has practical utility in the case of a small number of samples, and theoretical convergence to…

Optimization and Control · Mathematics 2024-06-03 Andrey A. Popov , Enrico M. Zucchelli , Renato Zanetti

We introduce a new nonparametric density estimator inspired by Markov Chains, and generalizing the well-known Kernel Density Estimator (KDE). Our estimator presents several benefits with respect to the usual ones and can be used…

Methodology · Statistics 2020-09-15 Andrea De Simone , Alessandro Morandini

Accurate vehicle type classification serves a significant role in the intelligent transportation system. It is critical for ruler to understand the road conditions and usually contributive for the traffic light control system to response…

Computer Vision and Pattern Recognition · Computer Science 2022-09-28 Ruikang Luo , Yaofeng Song , Han Zhao , Yicheng Zhang , Yi Zhang , Nanbin Zhao , Liping Huang , Rong Su

We present a fast and transparent multi-variate event classification technique, called PDE-RS, which is based on sampling the signal and background densities in a multi-dimensional phase space using range-searching. The employed algorithm…

High Energy Physics - Experiment · Physics 2009-11-07 T. Carli , B. Koblitz

This paper presents an intuitive application of multivariate kernel density estimation (KDE) for data correction. The method utilizes the expected value of the conditional probability density function (PDF) and a credible interval to…

Applications · Statistics 2025-09-19 Hai Bui , Mostafa Bakhoday-Paskyabi

Markov Chain Monte Carlo approach is frequently used within Bayesian framework to sample the target posterior distribution. Its efficiency strongly depends on the proposal used to build the chain. The best jump proposal is the one that…

Instrumentation and Methods for Astrophysics · Physics 2023-02-01 Mikel Falxa , Stanislav Babak , Maude Le Jeune

Traffic forecasting is one of the most popular spatio-temporal tasks in the field of machine learning. A prevalent approach in the field is to combine graph convolutional networks and recurrent neural networks for the spatio-temporal…

Machine Learning · Computer Science 2023-06-07 Jeongwhan Choi , Noseong Park

When analyzing modern machine learning algorithms, we may need to handle kernel density estimation (KDE) with intricate kernels that are not designed by the user and might even be irregular and asymmetric. To handle this emerging challenge,…

Statistics Theory · Mathematics 2021-06-09 Hau-Tieng Wu , Nan Wu

Semantic segmentation of point clouds is an essential task for understanding the environment in autonomous driving and robotics. Recent range-based works achieve real-time efficiency, while point- and voxel-based methods produce better…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Daniel Fusaro , Simone Mosco , Emanuele Menegatti , Alberto Pretto

In this work, we propose a simple kernel ridge regression (KRR) framework with a dynamic-aware validation strategy for long-term prediction of complex dynamical systems. By employing a data-driven kernel derived from diffusion maps, the…

Machine Learning · Computer Science 2025-12-30 Jiwoo Song , Daning Huang , John Harlim

Recent advances in Transformer architectures have empowered their empirical success in a variety of tasks across different domains. However, existing works mainly focus on predictive accuracy and computational cost, without considering…

Machine Learning · Computer Science 2023-11-09 Xing Han , Tongzheng Ren , Tan Minh Nguyen , Khai Nguyen , Joydeep Ghosh , Nhat Ho

We present a method to capture groupings of similar calls and determine their relative spatial distribution from a collection of crime record narratives. We first obtain a topic distribution for each narrative, and then propose a nearest…

Machine Learning · Computer Science 2023-09-26 Jonathan Zhou , Sarah Huestis-Mitchell , Xiuyuan Cheng , Yao Xie

We propose the Selective Densification method for fast motion planning through configuration space. We create a sequence of roadmaps by iteratively adding configurations. We organize these roadmaps into layers and add edges between…

Robotics · Computer Science 2020-02-13 Brad Saund , Dmitry Berenson

Transport-based density estimation methods are receiving growing interest because of their ability to efficiently generate samples from the approximated density. We further invertigate the sequential transport maps framework proposed from…

Machine Learning · Statistics 2024-10-03 Benjamin Zanger , Olivier Zahm , Tiangang Cui , Martin Schreiber

Kernel density estimation is a popular method for estimating unseen probability distributions. However, the convergence of these classical estimators to the true density slows down in high dimensions. Moreover, they do not define meaningful…

Statistics Theory · Mathematics 2025-05-30 Jack Kendrick

Learning probabilistic models that can estimate the density of a given set of samples, and generate samples from that density, is one of the fundamental challenges in unsupervised machine learning. We introduce a new generative model based…

Machine Learning · Computer Science 2020-06-11 Siavash A. Bigdeli , Geng Lin , Tiziano Portenier , L. Andrea Dunbar , Matthias Zwicker

Random forests is a common non-parametric regression technique which performs well for mixed-type data and irrelevant covariates, while being robust to monotonic variable transformations. Existing random forest implementations target…

Machine Learning · Statistics 2018-05-04 Taylor Pospisil , Ann B. Lee